In: Statistics and Probability
ANOVA table:
| 
 Source  | 
 df  | 
 SS  | 
 MS  | 
 F  | 
| 
 Between  | 
 4  | 
 199.2  | 
 49.80  | 
 5.062*  | 
| 
 Within  | 
 75  | 
 737.8  | 
 9.84  | 
|
| 
 Total  | 
 79  | 
 937.0  | 
4.05
.988
1.34
1.84
4.96
a) From the given data
| ANOVA Table | alpha = | 0.05 | ||||
| Source | df | Sum of square | mean Square | F-ratio | F-critical | P-value | 
| Between Groups | 4 | 199.2 | 49.8 | 5.062 | 2.4937 | 0.0011 | 
| Withing Groups | 75 | 737.8 | 9.8 | |||
| Total | 79 | 937.0 | 
Since F-ratio = 5.062 > F-Critical vaue so we reject H0
also P-value < alpha 0.05 so we reject H0
Thus we conclude that there is at least two means are different
b) Tukey HSD Test:
